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Finding the Fourth Proportional to 699.09, 964.31 and 429.79

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Solution

The fourth proportional to 699.09, 964.31 and 429.79 is: 592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.09 : 964.31 = 429.79 : x
  2. Step 2: Convert to fraction form
    699.09/964.31 = 429.79/x
  3. Step 3: Cross multiply
    699.09x = 964.31 × 429.79
  4. Step 4: Simplify right side
    699.09x = 414,448.65
  5. Step 5: Solve for x
    x = 414,448.65/699.09
  6. Step 6: Final answer
    x = 592.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.